A:
Positive:
1 x 2024141217 x 2891630313 x 1557031717 x 1190671391 x 2224331119 x 1700959221 x 9159011547 x 130843
Negative:
-1 x -202414121-7 x -28916303-13 x -15570317-17 x -11906713-91 x -2224331-119 x -1700959-221 x -915901-1547 x -130843
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 202,414,121, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 202,414,121 | |
| -1 | -202,414,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 202,414,121.
Example:
1 x 202,414,121 = 202,414,121
and
-1 x -202,414,121 = 202,414,121
Notice both answers equal 202,414,121
With that explanation out of the way, let's continue. Next, we take the number 202,414,121 and divide it by 2:
202,414,121 ÷ 2 = 101,207,060.5
If the quotient is a whole number, then 2 and 101,207,060.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 202,414,121 | |
| -1 | -202,414,121 |
Now, we try dividing 202,414,121 by 3:
202,414,121 ÷ 3 = 67,471,373.6667
If the quotient is a whole number, then 3 and 67,471,373.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 202,414,121 | |
| -1 | -202,414,121 |
Let's try dividing by 4:
202,414,121 ÷ 4 = 50,603,530.25
If the quotient is a whole number, then 4 and 50,603,530.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 202,414,121 | |
| -1 | 202,414,121 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 17 | 91 | 119 | 221 | 1,547 | 130,843 | 915,901 | 1,700,959 | 2,224,331 | 11,906,713 | 15,570,317 | 28,916,303 | 202,414,121 |
| -1 | -7 | -13 | -17 | -91 | -119 | -221 | -1,547 | -130,843 | -915,901 | -1,700,959 | -2,224,331 | -11,906,713 | -15,570,317 | -28,916,303 | -202,414,121 |
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